A researcher is examining preferences among 3 brands of cat food using a sample of n = 78 cat owners each with one cat.

A researcher is examining preferences among 3 brands of cat food using a sample of n = 78 cat owners each with one cat. Each owner allows their cat to taste all 3 brands and selects the one he or she perceives to be the cat's favourite. If the data are evaluated with a chi-square test for goodness of fit using α = 0.1, then a significant result would require a chi-square statistic: